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115405551540 = 22325641141953
BaseRepresentation
bin110101101111010110…
…1001111011110110100
3102000212210220110001200
41223132231033132310
53342322310122130
6125003325252500
711223600000636
oct1533655173664
9360783813050
10115405551540
1144a41474a84
121a449104130
13ab62391c06
14582b092a56
15300695c760
hex1adeb4f7b4

115405551540 has 36 divisors (see below), whose sum is σ = 350063506884. Its totient is φ = 30774813696.

The previous prime is 115405551517. The next prime is 115405551563. The reversal of 115405551540 is 45155504511.

115405551540 is a `hidden beast` number, since 1 + 1 + 54 + 0 + 5 + 551 + 54 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115405551517) and next prime (115405551563).

It can be written as a sum of positive squares in 2 ways, for example, as 13826937744 + 101578613796 = 117588^2 + 318714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115405551495 and 115405551504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320570797 + ... + 320571156.

Almost surely, 2115405551540 is an apocalyptic number.

115405551540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115405551540 is an abundant number, since it is smaller than the sum of its proper divisors (234657955344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115405551540 is a wasteful number, since it uses less digits than its factorization.

115405551540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641141968 (or 641141963 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 115405551540 in words is "one hundred fifteen billion, four hundred five million, five hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 641141953 1282283906 1923425859 2564567812 3205709765 3846851718 5770277577 6411419530 7693703436 9617129295 11540555154 12822839060 19234258590 23081110308 28851387885 38468517180 57702775770 115405551540